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arXiv · 1806.02844

Foliations on the projective plane with finite group of symmetries

Alan Muniz·Rudy Rosas
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Abstract

Let $\mathcal{F}$ denote a singular holomorphic foliation on $\mathbb{P}^2$ having a finite automorphism group $\mbox{aut}(\mathcal{F})$. Fixed the degree of $\mathcal{F}$, we determine the maximal value that $|\mbox{aut}(\mathcal{F})|$ can take and explicitly exhibit all the foliations attaining this maximal value. Furthermore, we classify the foliations with large but finite automorphism group.

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Alan Muniz, Rudy Rosas. 2018-06-07. Foliations on the projective plane with finite group of symmetries. https://doi.org/10.2422/2036-2145.201906_011

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